Theorems · Theorem · commutative algebra
MvPowerSeries.rename_rename
∀ {σ : Type u_1} {τ : Type u_2} {γ : Type u_3} {R : Type u_4} (f : σ → τ) (g : τ → γ) [inst : Filter.TendstoCofinite f]
[inst_1 : CommSemiring R] [inst_2 : Filter.TendstoCofinite g] (p : MvPowerSeries σ R),
(MvPowerSeries.rename g) ((MvPowerSeries.rename f) p) = (MvPowerSeries.rename (g ∘ f)) p- Defined in
- Mathlib.RingTheory.MvPowerSeries.Rename
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Finsuppproof · cited by 5,255
- Finset.sumproof · cited by 5,195
- Set.preimageproof · cited by 4,946
- AlgHomstatement · cited by 3,236
- Finset.sum_congrproof · cited by 2,323
- Finset.imageproof · cited by 910
- MvPowerSeriesstatement and proof · cited by 659
- Set.InjOnproof · cited by 543
- Set.Finite.toFinsetproof · cited by 351
- MvPowerSeries.coeffproof · cited by 273
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.rename_comp_toMvPowerSeriesproof · cited by 1
- MvPowerSeries.rename_comp_renameproof · cited by 0
- MvPowerSeries.renameEquiv_transproof · cited by 0